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1020210210012 = 2237173391717923
BaseRepresentation
bin11101101100010010100…
…01000110010011011100
310121112100012111110122210
432312021101012103130
5113203342303210022
62100402245240420
7133464521463060
oct16661121062334
93545305443583
101020210210012
1136373a0808a4
12145882403110
1375289393aa6
143754260baa0
151b810ba6a0c
hexed894464dc

1020210210012 has 96 divisors (see below), whose sum is σ = 2737137618432. Its totient is φ = 289713574656.

The previous prime is 1020210209999. The next prime is 1020210210023. The reversal of 1020210210012 is 2100120120201.

It is a super-2 number, since 2×10202102100122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a self number, because there is not a number n which added to its sum of digits gives 1020210210012.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56912883 + ... + 56930805.

It is an arithmetic number, because the mean of its divisors is an integer number (28511850192).

Almost surely, 21020210210012 is an apocalyptic number.

1020210210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020210210012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1368568809216).

1020210210012 is an abundant number, since it is smaller than the sum of its proper divisors (1716927408420).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1020210210012 is a wasteful number, since it uses less digits than its factorization.

1020210210012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22027 (or 22025 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 1020210210012 its reverse (2100120120201), we get a palindrome (3120330330213).

The spelling of 1020210210012 in words is "one trillion, twenty billion, two hundred ten million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 173 346 519 692 1038 1211 2076 2422 3633 3917 4844 7266 7834 11751 14532 15668 17923 23502 27419 35846 47004 53769 54838 71692 82257 107538 109676 125461 164514 215076 250922 329028 376383 501844 677641 752766 1355282 1505532 2032923 2710564 3100679 4065846 4743487 6201358 8131692 9302037 9486974 12402716 14230461 18604074 18973948 21704753 28460922 37208148 43409506 56921844 65114259 70204391 86819012 130228518 140408782 210613173 260457036 280817564 421226346 491430737 842452692 982861474 1474292211 1965722948 2948584422 5897168844 12145359643 24290719286 36436078929 48581438572 72872157858 85017517501 145744315716 170035035002 255052552503 340070070004 510105105006 1020210210012